a method for predicting liquid densities of binary mixtures from heat of vaporization and liquid densityat boiling point temperature (δhvap and n b ρ ) as scaling constants, is presented. b2(t) follows a promisingcorresponding-states principle. calculation of α(t) and b(t), the two other temperature-dependentconstants of the equation of state, are made possible by scaling. as a result δhvap and...

particles down to a distance scale on the order of 18 10 m. Despite its widespread acceptance, SM operates with a large number of arbitrary parameters whose physical origin is presently unknown. Our work suggests that the generation structure of at least some SM parameters stems from the chaotic regime of renormalization group flow. Invoking the universal route to chaos in systems of nonlinear ...

Using the nonlinear dissipative kicked oscillator as an example, the correspondence between the descriptions provided by model dynamical systems of different classes is discussed. A detailed study of the approximate 1D map is undertaken: the period doubling is examined and the possibility of non-Feigenbaum period doubling is shown. Illustrations in the form of bifurcation diagrams and sets of i...

The critical solution in Choptuik scaling is shown to be closely related to the critical solution in the black-string black-hole transition (the merger), through double analytic continuation. This relation is considered for arbitrary space-time dimensions d, and should be tested by numerical simulations. Major consequences include: a suggestion for an alternative, Euclidean, method to obtain th...

Presumably, there are an infinity of scaling constants in 1D quadratic maps; therefore, it is meaningless to try to find all of them. However, some of these constants that have contributed to a better knowledge of the 1D quadratic maps have been published. In this work we illustrate some of the central features of the most important scaling constants and we introduce another one which has the n...

We consider the non-local energy-momentum tensor of quantum scalar and spinor fields in 2w-dimensional curved spaces. Working to lowest order in the curvature we show that, while the non-local terms proportional to 2R, 22R, . . . ,2w−2R are fully determined by the early-time behaviour of the heat kernel, the terms proportional to R depend on the asymptotic latetime behaviour. This fact explains...

A method for predicting liquid densities of binary mixtures from heat of vaporization and liquid densityat boiling point temperature (ΔHvap and n b ρ ) as scaling constants, is presented. B2(T) follows a promisingcorresponding-states principle. Calculation of α(T) and b(T), the two other temperature-dependentconstants of the equation of state, are made possible by scaling. As a result ΔHvap and...